SOLUTION: Thank you in advance for helping me with writing this problem in interval notation. The absolute value of 2x+1>=3 I have( -infintiy, -2]U[1,infinity ) Am I close?

Question 149694This question is from textbook
: Thank you in advance for helping me with writing this problem in interval notation. The absolute value of 2x+1>=3 I have( -infintiy, -2]U[1,infinity ) Am I close? This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule

Now lets focus on the first inequality

Start with the given inequality

Subtract 1 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

Now lets focus on the second inequality

Start with the given inequality

Subtract 1 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

----------------------------------------------------

Answer:

So our answer is

or

So the solution in interval notation is: (

]

[

)

Here's the graph of the solution set

Note:
There is a closed circle at which means that we're including that value from the solution set.

Also, there is a closed circle at which means that we're including that value from the solution set.

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